If mFGH = 60, what is the value of x?

Question

anonymous · Answer

attachment

anonymous · Answer

if u need help reading the numbers in the picture let me kno

anonymous · Answer

Choose one answer.
	 a. 8	
	 b. 10	
	 c. 4	
	 d. 14

anonymous · Answer

the equation in the corner is (5x+10)

anonymous · Answer

and those are both 12's at the end

anonymous · Answer

Didn't you have another congruent triangle problem earlier?

FP = PH = 12
the two half-triangles share side PG
and the angles at F and H are both 90

So the two small triangles are congruent, meaning the angle labeled as (5x + 10) is equal to the corresponding small angle beside it.

Together, the two angles make up angle FGH, and the measure of FGH is given as 60

anonymous · Answer

hmmm so how do i find x?

anonymous · Answer

put the equation = to 60?

anonymous · Answer

almost...

FGH is twice as big as (5x+10), so...

(2)(5x + 10) = 60

And then solve for x